Answer:
D. [tex]y=\frac{7}{2}x[/tex]
Step-by-step explanation:
We are asked to find the equation, which represents the direct variation that contains the ordered pair (2,7).
When two quantities are proportional to each other, they are in form [tex]y=kx[/tex], where, k represents constant of variation.
Upon substituting [tex]y=7[/tex] and [tex]x=2[/tex] in above equation, we will get:
[tex]7=k\cdot 2[/tex]
Let us solve for k by dividing both sides by 2:
[tex]\frac{7}{2}=\frac{k\cdot 2}{2}[/tex]
[tex]\frac{7}{2}=k[/tex]
Therefore, our required equation would be [tex]y=\frac{7}{2}x[/tex] and option D is the correct choice.
